The number 1392
1392 is a composite number with 20 divisors. Its prime factorisation is × 3 × 29. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232 … 1392.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1392 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1392 is composite. Its prime factorisation is
- 3
The divisors add up to 3720; without 1392 itself that is 2328, so 1392 is abundant (2328 is more than 1392). Euler's totient φ(1392) = 448 numbers up to 1392 share no factor with it.
- 4
The digits of 1392 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1392 = 2^{4} \times 3 \times 29 \]1392 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 3720 |
| Euler totient φ(n) | 448 |
| Square | 1937664 |
| Cube | 2697228288 |
| Square root | 37.309516 (= 4√87) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.392 × |
1392 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and ninety-two |
| Roman numerals | MCCCXCII |
| Binary (base 2) | 10101110000 |
| Octal (base 8) | 2560 |
| Hexadecimal (base 16) | 570 |
| Base 3 | 1220120 |
| As time | 1392 seconds = 23 min 12 s |
Is 1392 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1392 ÷ 2 = 696) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1392 ÷ 3 = 464) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1392 ÷ 4 = 348) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1392 ÷ 6 = 232) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (1392 ÷ 8 = 174) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1392 ÷ 12 = 116) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1392 a prime number?
No. 1392 = × 3 × 29, so it is divisible by 2.
What are the factors of 1392?
1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392.
What is 1392 in binary?
10101110000 (hexadecimal 570, octal 2560).
What is the square root of 1392?
About 37.3095, exactly 4√87.
What is 1392 in Roman numerals?
MCCCXCII.
Is 1392 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1392?
It is a composite number with 20 divisors.